GCF of 8037/169, 6020/272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8037/169, 6020/272 i.e 1/45968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8037/169, 6020/272.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8037/169,6020/272?
Given fractions are 8037/169,6020/272
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8037/169,6020/272, numerators are 8037,6020
Denominators are 169,272
The GCF of 8037,6020 is 1 .
LCM of 169,272 is 45968.
The greatest common factor of 8037/169,6020/272 = [GCF of 8037,6020]/[LCM of 169,272]= 1/45968
Therefore, the GCF of 8037/169,6020/272 is 1/45968.
To find the highest common factor of 8037,6020, we have to find the factors of both numbers and list the highest common factor.
The factors of 8037 are 1, 3, 9, 19, 47, 57, 141, 171, 423, 893, 2679, 8037
The factors of 6020 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020
The HCF of 8037,6020 is 1.
Lets's calculate GCF of 8037,6020
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8037,6020 By Matching Biggest Common Factor Method
Now, list down the factors of 8037
:1,3,9,19,47,57,141,171,423,893,2679,8037
Now, list down the factors of 6020
:1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020
Greatest Common Factor
We found the factors 8037,6020 . The biggest common factor number is the GCF number.
So the greatest common factor 8037,6020 is 1.
Lets's calculate LCM of 169,272
Given numbers has no common factors except 1. So, there LCM is their product i.e 45968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45968
Therefore, the GCF of Fractions 8037/169,6020/272 is 1/45968
Least Common Multiple of 169,272 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 169,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,272) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,272) x common factors =1 x 1 = 1
LCM(169,272) = ( 169 × 272 ) / 1
LCM(169,272) = 45968 / 1
LCM(169,272) = 45968
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FAQs on GCF of Fractions of 8037/169, 6020/272
1. What is the HCF of 8037,6020?
The HCF of 8037,6020 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8037/169, 6020/272?
Answer: GCF of Numerators as per given numbers 8037/169, 6020/272 is
GCF of Numerators i.e. for 8037,6020 is 1
LCM of denominators i.e. for 169,272 is 45968.
Thus, GCF of Fractions is 1/45968.Finally, GCF of Fractions for 8037/169, 6020/272 is 1/45968.